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Teor. Veroyatnost. i Primenen., 1981, Volume 26, Issue 4, Pages 798–807 (Mi tvp3508)  

Minimax measurements in a general statistical decision theory

N. A. Bogomolov

Moscow

Abstract: Minimax problem is considered in the frame of general statistical theory which includes both a classical Wald's theory and a quantum statistical decision theory. General conditions for the existence of minimax measurements are obtained, essential completeness of the class of соvariant measurements is proved (a generalization of the classical Hant–Stein theorem). Connections with the classical statistical decision theory are considered.

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English version:
Theory of Probability and its Applications, 1982, 26:4, 787–795

Bibliographic databases:

Received: 10.11.1980

Citation: N. A. Bogomolov, “Minimax measurements in a general statistical decision theory”, Teor. Veroyatnost. i Primenen., 26:4 (1981), 798–807; Theory Probab. Appl., 26:4 (1982), 787–795

Citation in format AMSBIB
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\by N.~A.~Bogomolov
\paper Minimax measurements in a~general statistical decision theory
\jour Teor. Veroyatnost. i Primenen.
\yr 1981
\vol 26
\issue 4
\pages 798--807
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=636773}
\zmath{https://zbmath.org/?q=an:0489.62011|0474.62009}
\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 26
\issue 4
\pages 787--795
\crossref{https://doi.org/10.1137/1126084}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1982PM42700010}


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